This two volume work on “Positivity in Algebraic Geometry” contains a contemporary account of a body of work in complex algebraic geometry loosely centered. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series. Front Cover · R.K. Lazarsfeld. Springer Science & Business Media, Aug I started this blog about a year ago briefly recommending Rob Lazarsfeld’s book Positivity in Algebraic Geometry, which gives bite-size.
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Leave a Reply Cancel reply Enter your comment here Filed under bookmathopinions. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems positivitty Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity.
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This two volume work on possitivity in Algebraic Geometry” geometrg a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Geometric Manifestations of Positivity. You are commenting using your WordPress. You are commenting using your Facebook account. This is a great point of view.
Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications.
Other editions – View all Positivity in algebraic geometry 2 R. A good deal of this material has not previously appeared in book algebraiv, and substantial parts are worked out here in detail for the first time. Page – Y. As mentioned already, a line bundle on a curve is positive iff it has positive degree.
Positivity in algebraic geometry 2 R. This map is then algebraic. Positivity in algebraic geometry 2 R. Selected pages Title Page.
Positivity in algebraic geometry 2 – R.K. Lazarsfeld, University of Michigan Staff – Google Books
Page – On the vanishing of local homotopy groups for isolated singularities algebdaic complex spaces, J. Here are some important examples of positive line bundles: IIRobert Lazarsfeld. LazarsfeldUniversity of Michigan Staff. Demailly’s book and other book will get you reasonably up to speed on the line-bundle side of things.
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity.
Selected pages Title Page. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity.
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Positivity in Algebraic Geometry II
LazarsfeldUniversity of Michigan Staff Limited preview –